Irreducible kernels and bound states in λ 𝒫 ( ϕ ) 2 models

Hans Koch

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 31, Issue: 3, page 173-234
  • ISSN: 0246-0211

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Koch, Hans. "Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models." Annales de l'I.H.P. Physique théorique 31.3 (1979): 173-234. <http://eudml.org/doc/76049>.

@article{Koch1979,
author = {Koch, Hans},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {3},
pages = {173-234},
publisher = {Gauthier-Villars},
title = {Irreducible kernels and bound states in $\lambda \mathcal \{P\}(\varphi )_2$ models},
url = {http://eudml.org/doc/76049},
volume = {31},
year = {1979},
}

TY - JOUR
AU - Koch, Hans
TI - Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 31
IS - 3
SP - 173
EP - 234
LA - eng
UR - http://eudml.org/doc/76049
ER -

References

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  2. [BL] J. Bros, M. Lassalle, Analytic properties and many-particle structure in general quantum field theory. Commun. Math. Phys., t. 36, 1974, p. 185; t. 43, 1975, p. 279; t. 54, 1977, p. 33. 
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  4. [D] J. Dimock, Asymptotic perturbation expansions in the P(φ)2 quantum field theory. Commun. Math. Phys., t. 35, 1974, p. 347. MR334756
  5. [DE I] J. Dimock, J.-P. Eckmann, On the bound state in weakly coupled λ(φ6 - φ4)2. Commun. Math. Phys., t. 51, 1976, p. 41. MR428956
  6. [DE II] J. Dimock, J.-P. Eckmann, Spectral properties and bound state scattering for weakly coupled λP(φ)2 models. Ann. of Phys., vol. 103, n° 2, 1977, p. 289. MR428957
  7. [DG] J. Dimock, J. Glimm, Measures on Schwartz distribution space and applications to P(φ)2 field theories. Adv. Math., t. 12, 1974, p. 58. Zbl0313.28015MR349171
  8. [EEF] J.-P. Eckmann, H. Epstein, J. Fröhlich, Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models. Ann. Inst. Henri Poincaré, vol. XXV, n° 1, 1976, p. 1. MR418716
  9. [EMS] J.-P. Eckmann, J. Magnen, R. Sénéor, Decay properties and Borel summability for the Schwinger functions in P(φ)2 theories. Commun. Math. Phys., t. 39, 1975, p. 251. MR366266
  10. [GJ I] J. Glimm, A. Jaffe, Particles and bound states and progress toward unitarity and scaling. In: H. Araki (Ed.), International symposium on mathematical problems in theoretical physics. Springer lecture notes in physics, vol. 29, Berlin, Heidelberg, New York, 1975. MR673769
  11. [GJ II] J. Glimm, A. Jaffe, The resummation of one particle lines. Preprint. Zbl0422.46058MR539731
  12. [GJS I] J. Glimm, A. Jaffe, T. Spencer, The Wightman axioms and particle structure in the P(φ)2 quantum field model. Ann. Math., t. 100, 1974, p. 585. MR363256
  13. [GJS II] J. Glimm, A. Jaffe, T. Spencer, The particle structure of the weakly coupled P(φ)2 model and other applications of high temperature expansions. In: G. Velo and A. Wightman (Eds,), Constructive quantum field theory. Springer lecture notes in physics, vol. 25, Berlin, Heidelberg, New York, 1973. MR395513
  14. [OS] K. Osterwalder, R. Sénéor, The scattering matrix is non-trivial for weakly coupled P(φ)2 models. Helv. Phys. Acta, t. 49, 1976, p. 525. MR411461
  15. [OSCH] K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions. Commun. Math. Phys., t. 31, 1973, p. 83; t. 42, 1975, p. 281. Zbl0274.46047
  16. [SCH] R. Schrader, Local operator products and field equations in P(φ)2 theories. Fortschr. Phys., t. 22, 1974, p. 611. MR674158
  17. [S I] T. Spencer, The mass gap for the P(φ)2 field model with a strong external field. Commun. Math. Phys., t. 39, 1974, p. 63. MR363294
  18. [S II] T. Spencer, The decay of the Bethe-Salpeter kernel in P(φ)2 quantum field models. Commun. Math. Phys., t. 44, 1975, p. 143. MR389080
  19. [SZ] T. Spencer, F. Zirilli, Scattering states and bound states in λP(φ)2. Commun. Math. Phys., t. 49, 1976, p. 1. MR413888
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  21. [T] F. Treves, Topological vector spaces, distributions and kernels. Academic Press, New York, London, 1967. Zbl0171.10402MR225131

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